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Braha, Naim L.; Mansour, Toufik; Mursaleen, Mohammad

Some approximation properties of parametric Baskakov-Schurer-Szász operators through a power series summability method. (English) Zbl 07840524

Complex Anal. Oper. Theory 18, No. 3, Paper No. 71, 27 p. (2024).
Summary: In this paper, we study some properties of the parametric generalization of the Baskakov-Schurer-Szász operators using a power series summability method. We prove some results in the weighted spaces of continuous functions and the Voronovskaya type theorem. Further, we prove some results related to the statistical convergence of the parametric generalization of the Baskakov-Schurer-Szász operators using the \(B\)-transformation. At the end of the paper we give some illustrative computational examples.

MSC:

40G10 Abel, Borel and power series methods
40C15 Function-theoretic methods (including power series methods and semicontinuous methods) for summability
40A35 Ideal and statistical convergence
41A36 Approximation by positive operators

Keywords:

Baskakov-Schurer-Szász operators; power series summability method; Korovkin type theorem; Voronovskaya type theorem; rate of convergence
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References:

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